Fuzzy mixed-discrete optimization of multistage structural systems

Singiresu S Rao, Xiong Ying

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Many structural optimization problems can be considered as multistage decision-making problems. If the problem involves uncertainty in the form of linguistic parameters and vague data, a fuzzy approach is to be used for its description. The solution of such problems can be accomplished through fuzzy dynamic programming. However, most of the existing fuzzy dynamic programming algorithms can not deal with mixed-discrete design variables in the optimization of structural systems containing fuzzy information. They often assumed that a fuzzy goal is imposed only on the final state for simplicity, the values of fuzzy goal and other parameters need to be predefined, and an optimal solution is obtained in the continuous design space only. To better reflect the nature of uncertainties present in real-life optimization problems, a mixed-discrete fuzzy dynamic programming (MDFDP) approach is proposed in this work for solving multistage decision-making problems in mixed-discrete design space with a fuzzy goal and a fuzzy state imposed on each stage. The method is illustrated by numerical examples.

Original languageEnglish
Title of host publicationCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Pages3381-3399
Number of pages19
Volume4
StatePublished - Aug 6 2007
Event48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference - Waikiki, HI, United States
Duration: Apr 23 2007Apr 26 2007

Other

Other48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
CountryUnited States
CityWaikiki, HI
Period4/23/074/26/07

Fingerprint

Dynamic programming
Decision making
Structural optimization
Linguistics
Uncertainty

ASJC Scopus subject areas

  • Architecture

Cite this

Rao, S. S., & Ying, X. (2007). Fuzzy mixed-discrete optimization of multistage structural systems. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (Vol. 4, pp. 3381-3399)

Fuzzy mixed-discrete optimization of multistage structural systems. / Rao, Singiresu S; Ying, Xiong.

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 4 2007. p. 3381-3399.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rao, SS & Ying, X 2007, Fuzzy mixed-discrete optimization of multistage structural systems. in Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. vol. 4, pp. 3381-3399, 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Waikiki, HI, United States, 4/23/07.
Rao SS, Ying X. Fuzzy mixed-discrete optimization of multistage structural systems. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 4. 2007. p. 3381-3399
Rao, Singiresu S ; Ying, Xiong. / Fuzzy mixed-discrete optimization of multistage structural systems. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 4 2007. pp. 3381-3399
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